三维挂谷猜想突破性论文|王虹 ×ばつ Joshua Zahl 英文原文、中文对照译本与引用资料 Chinese bilingual edition of the Wang–Zahl paper proving the 3D Kakeya set conjecture
Interactive Kakeya Conjecture visualizer (2D + 3D) with bilingual explanations and an authoritative formula collection | 挂谷猜想可视化
A needle that points every direction yet occupies no volume. An interactive lab for the Kakeya conjecture - including a box-counting meter that shows why no computation can settle it.
Undergraduate thesis on Hausdorff dimension, Fourier-analytic energy methods, and Falconer’s distance conjecture (Summer'25)
World's first 4D & 5D Kakeya datasets. Two independent numerical paths (logarithmic & pure polynomial GL) validate a variational proof framework. A proof-of-concept for Information Dynamics.
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